Functions Question 635

Question: Range of the function $ f(x)=\frac{x^{2}+x+2}{x^{2}+x+1};\ x\in R $ is

[IIT Screening 2003]

Options:

A) $ (1,\ \infty ) $

B) $ (1,\ 11/7] $

C) $ (1,\ 7/3] $

D) $ (1,\ 7/5] $

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Answer:

Correct Answer: C

Solution:

$ f(x)=1+\frac{1}{{{( x+\frac{1}{2} )}^{2}}+\frac{3}{4}} $
Þ Range $ =(1,,7/3] $ .